Work Done against Friction in Stopping Vehicle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance
Wvehicle = f*W*l
This formula uses 4 Variables
Variables Used
Work done against Friction - (Measured in Joule) - Work done against Friction is the energy lost due to frictional forces when an object moves over a certain distance on a surface.
Coefficient of Friction - Coefficient of Friction is a dimensionless value that characterizes the frictional force between two surfaces in contact, affecting the sight distance on a road.
Total Weight of Vehicle - (Measured in Kilogram) - Total Weight of Vehicle is the total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance.
Braking Distance - (Measured in Meter) - Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction: 0.8467 --> No Conversion Required
Total Weight of Vehicle: 230 Kilogram --> 230 Kilogram No Conversion Required
Braking Distance: 48 Meter --> 48 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wvehicle = f*W*l --> 0.8467*230*48
Evaluating ... ...
Wvehicle = 9347.568
STEP 3: Convert Result to Output's Unit
9347.568 Joule --> No Conversion Required
FINAL ANSWER
9347.568 Joule <-- Work done against Friction
(Calculation completed in 00.020 seconds)

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University of Engineering and Management,Kolkata (UEMK), Kolkata
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Stopping Sight Distance Calculators

Maximum Frictional Force Developed during Braking Operation of Vehicle
​ LaTeX ​ Go Maximum Frictional Force = (Total Weight of Vehicle*Velocity^2)/(2*[g]*Braking Distance)
Work Done against Friction in Stopping Vehicle
​ LaTeX ​ Go Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance
Kinetic Energy of Vehicle at Design Speed
​ LaTeX ​ Go Kinetic Energy of Vehicle at Design Speed = (Total Weight of Vehicle*Velocity^2)/(2*[g])
Braking Distance of Vehicle during Braking Operation
​ LaTeX ​ Go Braking Distance = Velocity^2/(2*[g]*Coefficient of Friction)

Work Done against Friction in Stopping Vehicle Formula

​LaTeX ​Go
Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance
Wvehicle = f*W*l

Why is Braking Distance?

Braking distance depends on how fast a vehicle is travelling before the brakes are applied, and is proportional to the square of the initial speed.

How to Calculate Work Done against Friction in Stopping Vehicle?

Work Done against Friction in Stopping Vehicle calculator uses Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance to calculate the Work done against Friction, Work Done against Friction in Stopping Vehicle formula is defined as the energy dissipated in overcoming frictional forces when a vehicle comes to a stop, which is a critical factor in determining the stopping distance of a vehicle, particularly on uphill or downhill slopes. Work done against Friction is denoted by Wvehicle symbol.

How to calculate Work Done against Friction in Stopping Vehicle using this online calculator? To use this online calculator for Work Done against Friction in Stopping Vehicle, enter Coefficient of Friction (f), Total Weight of Vehicle (W) & Braking Distance (l) and hit the calculate button. Here is how the Work Done against Friction in Stopping Vehicle calculation can be explained with given input values -> 9347.568 = 0.8467*230*48.

FAQ

What is Work Done against Friction in Stopping Vehicle?
Work Done against Friction in Stopping Vehicle formula is defined as the energy dissipated in overcoming frictional forces when a vehicle comes to a stop, which is a critical factor in determining the stopping distance of a vehicle, particularly on uphill or downhill slopes and is represented as Wvehicle = f*W*l or Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance. Coefficient of Friction is a dimensionless value that characterizes the frictional force between two surfaces in contact, affecting the sight distance on a road, Total Weight of Vehicle is the total weight of a vehicle, including the weight of the vehicle itself and its cargo, at a given sight distance & Braking Distance is the distance travelled by the vehicle at the point where brake is applied to the point where it stops.
How to calculate Work Done against Friction in Stopping Vehicle?
Work Done against Friction in Stopping Vehicle formula is defined as the energy dissipated in overcoming frictional forces when a vehicle comes to a stop, which is a critical factor in determining the stopping distance of a vehicle, particularly on uphill or downhill slopes is calculated using Work done against Friction = Coefficient of Friction*Total Weight of Vehicle*Braking Distance. To calculate Work Done against Friction in Stopping Vehicle, you need Coefficient of Friction (f), Total Weight of Vehicle (W) & Braking Distance (l). With our tool, you need to enter the respective value for Coefficient of Friction, Total Weight of Vehicle & Braking Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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